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Resilient Finite‐Time Controller Design of a Class of Stochastic Nonlinear Systems

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  • Zhiguo Yan

Abstract

This paper deals with the problem of resilient finite‐time control for a class of stochastic nonlinear systems. The notion of finite‐time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite‐time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double‐parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:791409
DOI: 10.1155/2014/791409
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